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相关论文: Short-distance thermal correlations in the XXZ cha…

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We explore short-distance static correlation functions in the infinite XXZ chain using previously derived formulae which represent the correlation functions in factorized form. We compute two-point functions ranging over 2, 3 and 4 lattice…

强关联电子 · 物理学 2017-08-16 Christian Trippe , Frank Göhmann , Andreas Klümper

We communicate results on correlation functions for the spin-1/2 Heisenberg-chain in two particularly important cases: (a) for the infinite chain at arbitrary finite temperature $T$, and (b) for finite chains of arbitrary length $L$ in the…

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

统计力学 · 物理学 2008-11-26 Kazumitsu Sakai

We evaluate numerically certain multiple integrals representing nearest and next-nearest neighbor correlation functions of the spin-1/2 $XXZ$ Heisenberg infinite chain at finite temperatures.

统计力学 · 物理学 2009-11-11 Michael Bortz , Frank Göhmann

We derive finite temperature versions of integral formulae for the two-point correlation functions in the antiferromagnetic XXZ chain. The derivation is based on the summation of density matrix elements characterizing a finite chain segment…

统计力学 · 物理学 2011-02-16 Frank Göhmann , Nils P. Hasenclever , Alexander Seel

We use the form factors of the quantum transfer matrix in the zero-temperature limit in order to study the two-point ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime. We obtain novel form factor…

统计力学 · 物理学 2017-10-05 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

The XXZ quantum spin chain has a triple point in its ground state $h$-$1/\Delta$ phase diagram. This first order critical point is located at the joint end point of the two second order phase transition lines marking the transition from the…

统计力学 · 物理学 2017-08-16 Christian Trippe , Frank Göhmann , Andreas Klümper

We calculate certain string correlation functions, originally introduced as order parameters in integer spin chains, for the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit. For small distances, we obtain…

统计力学 · 物理学 2008-12-18 Michael Bortz , Jun Sato , Masahiro Shiroishi

We derive expressions for the form factors of the quantum transfer matrix of the spin-1/2 XXZ chain which are suitable for taking the infinite Trotter number limit. These form factors determine the finitely many amplitudes in the leading…

统计力学 · 物理学 2015-06-15 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski

We consider multi-point correlation functions in the open XXZ chain with longitudinal boundary fields and in a uniform external magnetic field. We show that, at finite temperature, these correlation functions can be written in the quantum…

可精确求解与可积系统 · 物理学 2023-03-22 Karol K. Kozlowski , Véronique Terras

We present a conjecture for the density matrix of a finite segment of the XXZ chain coupled to a heat bath and to a constant longitudinal magnetic field. It states that the inhomogeneous density matrix, conceived as a map which associates…

高能物理 - 理论 · 物理学 2008-11-26 Herman E. Boos , Frank Göhmann , Andreas Klümper , Junji Suzuki

We present a Green's-function theory of magnetic short-range order in the $S=1/2$ easy-plane XXZ chain based on the projection method for the dynamic spin susceptibility and a decoupling of three-spin operator products introducing vertex…

强关联电子 · 物理学 2009-10-31 C. Schindelin , H. Fehske , H. Büttner , D. Ihle

We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature…

统计力学 · 物理学 2021-05-26 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

The XXZ Heisenberg chain is considered for two specific limits of the anisotropy parameter: $\Dl\to 0$ and $\Dl\to -\infty$. The corresponding wave functions are expressed by means of the symmetric Schur functions. Certain expectation…

统计力学 · 物理学 2019-01-15 N. M. Bogoliubov , C. Malyshev

In this letter we consider expectation values of local correlators in highly excited states of the spin-1/2 XXZ chain. Assuming that the string hypothesis holds we formulate the following conjecture: The correlation functions can be…

统计力学 · 物理学 2015-06-19 M. Mestyán , B. Pozsgay

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

凝聚态物理 · 物理学 2009-10-22 Andreas Klümper

We study the correlation functions of $SU(n)$ $n>2$ invariant spin chains in the thermodynamic limit. We formulate a consistent framework for the computation of short-range correlation functions via functional equations which hold even at…

数学物理 · 物理学 2019-01-30 G. A. P. Ribeiro , A. Klümper

We derive algebraic formulas for the density matrices of finite segments of the integrable su(2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the 2 and 3 site cases for arbitrary temperature T and zero…

统计力学 · 物理学 2015-06-15 Andreas Klümper , Dominic Nawrath , Junji Suzuki

Coupling constants for the most relevant terms in the low energy effective Hamiltonian of the XXZ spin chain are derived. Using this result we study the low energy (low temperature, weak magnetic field) thermodynamics, finite size effects…

凝聚态物理 · 物理学 2009-10-30 S. Lukyanov

The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the nearest neighbor and…

统计力学 · 物理学 2015-03-17 Minoru Takahashi
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